Solve sqrt{42(42-26)(42-28)(42-30)}

$$\sqrt { 42 ( 42 - 26 ) ( 42 - 28 ) ( 42 - 30 ) }$$

Evaluate

$$336$$

Solution Steps

Subtract 26 from 42 to get 16.

$$\sqrt{42\times 16\left(42-28\right)\left(42-30\right)}$$

Multiply 42 and 16 to get 672.

$$\sqrt{672\left(42-28\right)\left(42-30\right)}$$

Subtract 28 from 42 to get 14.

$$\sqrt{672\times 14\left(42-30\right)}$$

Multiply 672 and 14 to get 9408.

$$\sqrt{9408\left(42-30\right)}$$

Subtract 30 from 42 to get 12.

$$\sqrt{9408\times 12}$$

Multiply 9408 and 12 to get 112896.

$$\sqrt{112896}$$

Calculate the square root of 112896 and get 336.

$$336$$

Factor

$$2^{4}\times 3\times 7$$